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Finding the Fourth Proportional to 5,456.94, 8,185.94 and 2,169.30

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Solution

The fourth proportional to 5,456.94, 8,185.94 and 2,169.30 is: 3,254.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,456.94 : 8,185.94 = 2,169.30 : x
  2. Step 2: Convert to fraction form
    5,456.94/8,185.94 = 2,169.30/x
  3. Step 3: Cross multiply
    5,456.94x = 8,185.94 × 2,169.30
  4. Step 4: Simplify right side
    5,456.94x = 17,757,759.64
  5. Step 5: Solve for x
    x = 17,757,759.64/5,456.94
  6. Step 6: Final answer
    x = 3,254.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.